Search a number
-
+
2379920 = 24571419
BaseRepresentation
bin1001000101000010010000
311110220122012
421011002100
51102124140
6123002052
726141354
oct11050220
94426565
102379920
111386084
12969328
1365434a
1445d464
15320265
hex245090

2379920 has 40 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 936320.

The previous prime is 2379899. The next prime is 2379929. The reversal of 2379920 is 299732.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2379929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5471 + ... + 5889.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

22379920 is an apocalyptic number.

2379920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2379920 is an abundant number, since it is smaller than the sum of its proper divisors (3244720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2379920 is a wasteful number, since it uses less digits than its factorization.

2379920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 2379920 is about 1542.6989336873. The cubic root of 2379920 is about 133.5121489689.

The spelling of 2379920 in words is "two million, three hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 419 568 710 838 1136 1420 1676 2095 2840 3352 4190 5680 6704 8380 16760 29749 33520 59498 118996 148745 237992 297490 475984 594980 1189960 2379920